Skrytý text:Firstly, we note that for
holds
,
where
denotes the
-th harmonic number - a result which can be easily obtained by multiplying the power series of
and
. Therefore,
Using the inequality
, we get for
that
,
the limit of which as
is zero, therefore
. Concluding, the value of given limit is
.
Matematika = královna věd. Analýza = královna matematiky.
(Teorie množin = bohatství matematiky.)MKS Náboj iKS
